WORKING WITH DECIMALS ADDING & SUBTRACTING DECIMALS Rules: Always remember to line up the decimals when setting up the problem. Add zeros to hold place value if needed. Bring down the decimal point into your answer. Example: Set up the problem so the decimals are lined up 25.8 - 14.62 25.8 + 14.62 Add zeros where necessary so all places are full 25.80 - 14.62 25.80 + 14.62 Add or Subtract 7 1 1 10 25.80 - 14.62 1 1 18 25.80 + 14.62 40 42 Bring down the decimal point 7 1 1 10 25.80 - 14.62 11.18 25.80 + 14.62 40. 42 MULTIPLING DECIMALS Set up the problem 2.3 4 x 2.1 Multiply normally (Do not forget your place holders) 7 2.3 4 x 2.1 234 + 468X 4 914 Look at the original problem and count the number of places after each decimal point 2.3 4 -- 2 numbers after the decimal point x 2.1 -- 1 number after the decimal point *in this problem there are 3 total numbers after the decimal point Move the decimal point in your answer over that number of places 4 .914 .3 2 1 DIVIDING DECIMALS Set up the problem _______ 2.5 12.5 You cannot have a decimal outside of your “house” so you need to move the decimal to make it a whole number. _______ 2.5 12.5 *your new problem is 25 12.5 Move decimal over 1 place Since you moved the decimal place over outside the “house” you need to also move it on the inside the same amount of spaces to keep a good balance!! _______ 25. 12.5 *your new problem is 25. 125. Move decimal over 1 place inside also Bring up the decimal point ____.____ 25 125. Divide normally __ 5. 25 125. Your answer is 5 or 5.0